Please help!!

The purpose of this question is to figure out what “sufficiently random” means, and why
it is there. We’ll use the matrix
A =(1 −2 2)
(−1 0 2)
(−1 −3 5)

.
(a) Starting with the vector ~w1 = (1, 0, 0), do this procedure 10 times (you don’t need
to show all the calculations, just show the first two and the final answer. You
should re-scale so that the last coordinate is 1).

Question

Please help!!

The purpose of this question is to figure out what “sufficiently random” means, and why
it is there. We’ll use the matrix
A =(1      −2     2)
       (−1     0     2)
       (−1    −3    5)

.
(a) Starting with the vector ~w1 = (1, 0, 0), do this procedure 10 times (you don’t need
to show all the calculations, just show the first two and the final answer. You
should re-scale so that the last coordinate is 1).